we have

Combine like terms in both sides

we know that

substitute in the expression above
-----> equation A
Multiply equation A by
both sides

---------> equation B
Group terms that contain the same variable, and move the constant to the opposite side of the equation

---------> equation C
Solve for x

We are going to proceed to verify each case to determine the solution.
<u>Case a)</u> 
the case a) is equal to the equation A
so
the case a) have the same solution that the given equation
<u>Case b)</u> 
Combine like terms in left side


the case b) is equal to the equation B
so
the case b) have the same solution that the given equation
<u>Case c)</u> 
Combine like terms in left side




therefore
the case c) not have the same solution that the given equation
<u>Case d)</u> 
Combine like terms in left side

the case d) is equal to the equation C
so
the case d) have the same solution that the given equation
<u>Case e)</u> 
Combine like terms in left side



therefore
the case e) not have the same solution that the given equation
therefore
<u>the answer is</u>
case a) 
case b) 
case d) 